Suppose the value of Young\'s modulus (GPa) was determined for cast plates consi

Question

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations: 116.6 115.8 114.5 115.1 115.6 (a) Calculate x- GPa Calculate the deviations from the mean. (Enter your answers to two decimal places.) (b) Use the deviations calculated in part (a) to obtain the sample variance and the sample standard deviation. (Round your answers to three decimal places.) S^2 = GPa^2 S = GPa (c) Calculate s^2 by using the computational formula for the numerator S_xx. GPa^2 (d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance of these transformed values. GPa^2 Compare it to s^2 for the original data. The variance in part (d) is greater than the variance in part (b). The variance in part (d) is equal to the variance in part (b). The variance in part (d) is smaller than the variance in part (b).

Explanation / Answer

a) mean =115.52

b) deviation from mean =(x-xbar)

c) s2 =0.785

d) s2 =0.785

the variance in part d is equal to the variance in part b

x 116.6 115.8 114.5 115.1 115.6 deviation 1.08 0.28 -1.02 -0.42 0.08

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